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Finding the Third Proportional to 548,214 and 1,320,711

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Solution

The third proportional to 548,214 and 1,320,711 is: 3,181,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,214 : 1,320,711 = 1,320,711 : x
  2. Step 2: Convert to fraction form
    548,214/1,320,711 = 1,320,711/x
  3. Step 3: Cross multiply
    548,214x = 1,320,711 × 1,320,711
  4. Step 4: Simplify right side
    548,214x = 1,744,277,545,521
  5. Step 5: Solve for x
    x = 1,744,277,545,521/548,214
  6. Step 6: Final answer
    x = 3,181,745.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.